Greatest Common Factor of 932 and 938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 932, 938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 932 and 938 is 2.

GCF(932,938) = 2

GCF of 932 and 938

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 932 and 938

GCF of 932 and 938 is 2

Prime Factorization of 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

Prime Factorization of 938


2 938
7 469
67 67
1

Prime factors of 938 are 2,7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

∴ So by taking common prime factors GCF of 932 and 938 is 2

Greatest Common Factor of 932 and 938 by matching factors method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors and prime factorization of 932 and 938. The biggest common factor number is the GCF number.
So the greatest common factor 932 and 938 is 2.

Also check out the Least Common Multiple of 932 and 938

Properties of GCF 932 and 938

(i) The GCF of 932 and 938 is associative

GCF of 932 and 938 = GCF of 938 and 932

Related Greatest Common Factor of 932

Related Greatest Common Factor of 938

Frequently Asked Questions on GCF of 932 and 938

1. What is the GCF of 932 and 938?

Answer: GCF of 932 and 938 is 2.

2. What are the Factors of 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

3. What are the Factors of 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

4. How to Find the GCF of 932 and 938?

Answer:

Greatest Common Factor of 932 and 938 = 2

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

Step 2: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 932 and 938 is 2